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How to pronounce “eigenvector

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Pronunciation guide for eigenvector

Learning goal
Practice the English pronunciation of eigenvector with real speech in context.
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Definition summary
(linear algebra) A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).

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A Deep Dive Into “eigenvector

Meaning

  • [Noun]
  • (linear algebra) A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
  • (physics, engineering) A right eigenvector; given a matrix A, the eigenvector of the transformation "left-side multiplication by A."

Practice Nearby Words

right eigenvector, left eigenvector, eigenvalue, left eigenvalue, right eigenvalue, eigensymbol, eigenaxis, eigenbivector, eigenpolynomial, eigenspace, eigenpair, characteristic vector, eigenderivative, eigenprojection, eigencomponent, eigenversor, eigenoperator, eigenarray, eigenline, eigengene, eigen decomposition, eigendirection, eigenangle, eigendecomposition, eigenfunction, eigenmatrix, eigentensor, proper value, eigencoordinate, eigenamplitude, row vector, eigensolver, eigencolumn, eigenspectrum, eigensolution, eigenhead, eigenbasis, eigenequation, eigenanalysis, evectant, eigenprojector, characteristic root, eigensheaf, eigengap, eigenket, eigenstructure, eigenbra, eigenbundle, vector product, zero vector, column vector, eigentheory, covector, eigenorder, unit vector, evector, eigenproblem, eigenlevel, axial vector, eigenface, eigenplane, eigensequence, eigendimension, eigencharacteristics, eigenpicture, elliptope, entry, eigennumber, vector, zero mode, eigenrate, eigenset, projection, eigencondition, eigenratio, eigenvariety, pseudovector, versor, eigenvariate, orthogonal matrix, vector space, eigensection, eigencentrality, linear transformation, defective matrix, eigenband, eigenform, inverse matrix, eigenregion, elliptic operator, subvector, functional, vector function, eigenblade, paravector, eigenelement, linear functional, unit matrix, echelon form, eigenscale

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